Polymer and Fock representations for a scalar field

Abhay Ashtekar, Jerzy Lewandowski, Hanno Sahlmann

Research output: Contribution to journalArticle

91 Citations (Scopus)

Abstract

In loop quantum gravity, matter fields can have support only on the 'polymer-like' excitations of quantum geometry, and their algebras of observables and Hilbert spaces of states cannot refer to a classical, background geometry. Therefore, to adequately handle the matter sector, one has to address two issues already at the kinematic level. First, one has to construct the appropriate background-independent operator algebras and Hilbert spaces. Second, to make contact with low-energy physics, one has to relate this 'polymer description' of matter fields to the standard Fock description in Minkowski space. While this task has been completed for gauge fields, important gaps remained in the treatment of scalar fields. The purpose of this letter is to fill these gaps.

Original languageEnglish (US)
Pages (from-to)L11-L21
JournalClassical and Quantum Gravity
Volume20
Issue number1
DOIs
StatePublished - Jan 7 2003

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scalars
Hilbert space
polymers
algebra
Minkowski space
geometry
sectors
kinematics
gravitation
operators
physics
excitation
energy

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy (miscellaneous)

Cite this

Ashtekar, Abhay ; Lewandowski, Jerzy ; Sahlmann, Hanno. / Polymer and Fock representations for a scalar field. In: Classical and Quantum Gravity. 2003 ; Vol. 20, No. 1. pp. L11-L21.
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Polymer and Fock representations for a scalar field. / Ashtekar, Abhay; Lewandowski, Jerzy; Sahlmann, Hanno.

In: Classical and Quantum Gravity, Vol. 20, No. 1, 07.01.2003, p. L11-L21.

Research output: Contribution to journalArticle

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